Do You Add Monomials?

A monomial is an algebraic expression that consists of one term. Two or more monomials can be added or subtracted only if they are LIKE TERMS. Like terms are terms that have exactly the SAME variables and exponents on those variables. The coefficients on like terms may be different.

Do you add or multiply Monomials?

Multiplication of Monomials

When you multiply monomials, first multiply the coefficients and then multiply the variables by adding the exponents. Note that when you multiply monomials with same base, you can add their exponents. This is called the Product of Powers Property.

What are examples of monomials?

An expression with a single term is a monomial, for example, 4x, 5x2, 7x4. An expression having two terms is called a binomial, like, 11x + 2xy, or, 13y + x3. An expression having three terms is called a trinomial, like, 4x + x2 + 9x3.

Sarah Jenkins

Sarah Jenkins

Senior Technology Editor & AI Specialist

Sarah Jenkins is a veteran tech journalist with over 12 years of experience covering artificial intelligence, mobile innovations, and digital ethics. Her insights have appeared in leading technology publications worldwide.